Details

Time bar (total: 13.9s)

sample50.0ms

Algorithm
intervals
Results
16.0ms271×body80nan
16.0ms256×body80valid

simplify71.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04414
116514
282614
3386714
4500214

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 3.0 (* v v))
0.3b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
0.3b
(* PI t)
0.4b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log add-cbrt-cube
18×associate-*r/
16×pow1
13×add-sqr-sqrt prod-exp cbrt-unprod
10×add-cube-cbrt *-un-lft-identity
8×flip3-- sqrt-div associate-*r* associate-/r/ flip--
7×associate-*l* pow-prod-down
4×cbrt-undiv frac-times div-exp add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-*l/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 94
Calls
4 calls:
17.0ms
(* 3.0 (* v v))
119.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
7.0ms
(* PI t)
34.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series815.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* 3.0 (* v v))
583.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
18.0ms
(* PI t)
184.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify105.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07531153
142561002
250011002

prune584.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 3.0 (* v v))
0.2b
(/ (sqrt (- 1.0 (* 5.0 (* v v)))) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
0.3b
(* PI t)
0.4b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
16×pow1
15×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
10×prod-exp cbrt-unprod
8×associate-*r/ associate-*r*
7×associate-*l* pow-prod-down sqrt-prod
6×times-frac sqrt-div associate-/l*
4×add-log-exp
3×cbrt-undiv flip3-- div-exp *-commutative flip--
2×associate-/r/ associate-/l/ unswap-sqr
1×frac-2neg clear-num associate-/r* div-inv
Counts
4 → 91
Calls
4 calls:
16.0ms
(* 3.0 (* v v))
49.0ms
(/ (sqrt (- 1.0 (* 5.0 (* v v)))) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
12.0ms
(* PI t)
38.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series599.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* 3.0 (* v v))
383.0ms
(/ (sqrt (- 1.0 (* 5.0 (* v v)))) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
19.0ms
(* PI t)
174.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify66.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0537931
12632830
25002829

prune644.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 3.0 (* v v))
0.3b
(/ (/ (fabs (cbrt (- 1.0 (* 5.0 (* v v))))) PI) t)
0.5b
(* (/ (/ (fabs (cbrt (- 1.0 (* 5.0 (* v v))))) PI) t) (/ (sqrt (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
1.0b
(/ (sqrt (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
234×times-frac
175×add-sqr-sqrt
129×add-cube-cbrt *-un-lft-identity
79×sqrt-prod
46×associate-*l*
43×associate-*r*
37×add-exp-log add-cbrt-cube
30×cbrt-prod
22×associate-/l*
13×cbrt-undiv div-exp unswap-sqr
11×pow1 div-inv
9×prod-exp cbrt-unprod
7×associate-/r*
6×sqrt-div
5×associate-*r/
4×pow-prod-down associate-/r/ add-log-exp
3×flip3-- flip-- associate-/l/
2×cbrt-div frac-2neg clear-num *-commutative
1×frac-times sqrt-undiv associate-*l/
Counts
4 → 276
Calls
4 calls:
17.0ms
(* 3.0 (* v v))
10.0ms
(/ (/ (fabs (cbrt (- 1.0 (* 5.0 (* v v))))) PI) t)
102.0ms
(* (/ (/ (fabs (cbrt (- 1.0 (* 5.0 (* v v))))) PI) t) (/ (sqrt (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
24.0ms
(/ (sqrt (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.7s

Counts
4 → 12
Calls
4 calls:
23.0ms
(* 3.0 (* v v))
44.0ms
(/ (/ (fabs (cbrt (- 1.0 (* 5.0 (* v v))))) PI) t)
889.0ms
(* (/ (/ (fabs (cbrt (- 1.0 (* 5.0 (* v v))))) PI) t) (/ (sqrt (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
708.0ms
(/ (sqrt (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify88.0ms

Algorithm
egg-herbie
Counts
288 → 288
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
017935780
150015445

prune3.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 5.0 (* v v))
0.1b
(* 3.0 (* v v))
1.0b
(/ (sqrt (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
1.0b
(* (/ (fabs (cbrt (- 1.0 (* 5.0 (* v v))))) PI) (/ (sqrt (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
91×times-frac
88×add-sqr-sqrt
77×sqrt-prod
60×add-cube-cbrt *-un-lft-identity
44×associate-*r*
29×cbrt-prod
28×add-exp-log add-cbrt-cube
19×associate-*l*
16×pow1
10×prod-exp cbrt-unprod unswap-sqr
9×associate-/l*
7×pow-prod-down
6×sqrt-div
5×cbrt-undiv associate-*r/ div-exp
4×associate-/r* associate-/r/ add-log-exp
3×flip3-- *-commutative flip-- div-inv
2×cbrt-div associate-/l/
1×frac-times sqrt-undiv frac-2neg associate-*l/ clear-num
Counts
4 → 187
Calls
4 calls:
16.0ms
(* 5.0 (* v v))
18.0ms
(* 3.0 (* v v))
20.0ms
(/ (sqrt (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
63.0ms
(* (/ (fabs (cbrt (- 1.0 (* 5.0 (* v v))))) PI) (/ (sqrt (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
23.0ms
(* 5.0 (* v v))
23.0ms
(* 3.0 (* v v))
546.0ms
(/ (sqrt (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
533.0ms
(* (/ (fabs (cbrt (- 1.0 (* 5.0 (* v v))))) PI) (/ (sqrt (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))

simplify70.0ms

Algorithm
egg-herbie
Counts
199 → 199
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
014903988
150023770

prune2.5s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes141.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03027
13027

end0.0ms

sample1.3s

Algorithm
intervals
Results
528.0ms8001×body80valid
494.0ms8056×body80nan